2.08 CALCULUS

Edit 0 16 …
Teachers (list):
Textbook (title, publisher, copyright date):
(1)
 (2)
 (3)
 (4)
 (5)
 (6)
 (7)
 (8)
 (9)
Obj #
 Unit
 Objective:
"The learner will . . ."
 Standard(s)
 No. of Days
 Vocabulary Terms
 Resources
 Student Learning Activities
 Assessment
1
 1
 review algebraic, geometric, and trigomometric concepts
 12.1.1,12.1.2,
12.1.3, 12.2.1,
12.2.2,
12.2.3, 12.2.4,
12.2.5,
12.3.1,12.3.2,
12.3.3,12.4.1,
12.4.2,12.4.3
 35-50
 solving and graphing polynomial functions (linear, quadratic, cubic, etc)
Absolute functions,
Inequalities,
Inverse functions, Growth and decay, logarithmic functions, conic sections, right triangle trigonometry, trigonometric functions, trigonometric identities and equations and formulas, polar graphs, vectors and determinants
 Advanced Mathematics, Richard G Brown, Kahn Academy, Utube videos on the various topics,
www.classzone.com
exam view test manager,
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation


Testing and review
4-6



2
 1.1
 represent functions and relations
 12.3.1
 2-4
 domain range, relation, function, increasing, decreasing, symmetry, even, odd
 Calculus, James Stewart,
Kahn Academy, Utube
videos, www.classzone.com
exam view test manager
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation
3
 1.2
 graph and write the different types of functions
 12.1.1,12,1.2, 12.1.3,
12.3.1,12,3,2,
12,3,3
 2-4
 polynomial, power, root, reciprocal, rational, algebraic, trigonometric, exponential, logarithmic, transcendental
 Calculus, James Stewart,
Kahn Academy, Utube
videos, www.classzone.com
exam view test manager
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation
4
 1.3
 find new functions from old functions
 12.1.1,12,1.2, 12.1.3,
12.3.1,12,3,2,
12,3,3
 2-4
 Transformations, translations, stretching, reflecting, composite
 Calculus, James Stewart,
Kahn Academy, Utube
videos, www.classzone.com
exam view test manager
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation
5
 1.4
 explore the use of graphing calculators to solve problems
 12.1.1,12,1.2, 12.1.3,
12.3.1,12,3,2,
12,3,3
 2-4
 viewing rectangle, display window, family of functions
 Calculus, James Stewart,
Kahn Academy, Utube videos, www.classzone.com
exam view test manager
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation
6
review and test
3-6



7
 e
 review principles of mathematical induction
 12.3, 12.2
 2-4
 patterns, analogy, indirect reasoning, mathematical induction
 Calculus, James Stewart,
Kahn Academy, Utube videos, www.classzone.com
exam view test manager
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation
8
 2
 investigate limits and their properties
 12.1.1,12,1.2, 12.1.3,
12.3.1,12,3,2,
12,3,3
 18-25
 tangent, velocity, limit, one sided limit, left hand limit, right hand limit, infinite limit, vertical asymptote, horizontal asymptote, squeeze theorem, greatest integer, intervals, continuous, discontinuous, removable discontinuity, infinite discontinuity, jump discontinuity, intermediate value theorem, definition of a tangent (f(x)-f(a)/x-a,
average rate of change,
instantaneous rate of change,
 Calculus, James Stewart,
Kahn Academy, Utube
videos, www.classzone.com
exam view test manager
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation
9
 e
 review and test
3-6



10
 3
 calculate derivatives and solve problems involving rates of change and approximations of functions
 12.1.1,12,1.2, 12.1.3,
12.3.1,12,3,2,
12,3,3
 24-36
 definition of a derivative,
derivative as a rate of change, tangent and derivative, differentiation operators, differentiation,
differentiable at a, differentiable on a open interval, vertical tangent, derivative of a constant, power rule, constant multiple rule, sum rule, difference rule, product rule, quotient rule, derivatives of trigonometric functions, chain rule, implicit differentiation, orthogonal, higher derivatives, acceleration, related rates, linear approximations, tangent line approximations, relative error, percentage error
 Calculus, James Stewart,
Kahn Academy, Utube
videos, www.classzone.com
exam view test manager
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation
11
 4
 investigate the applications of differentiation.
 12.1.1,12,1.2, 12.1.3,
12.3.1,12,3,2,
12,3,3
 30-45
 maximum, minimum, absolute maximum, absolute minimum, local maximum, local mininum, extreme values, critical numbers, Rolle's Theorem, Mean Value Theorem, increasing/decreasing test, first derivative test, concave upward, concave downward, second derivative test, definition of a limit(-∞,+∞), horizontal asymptote, even function, odd function, slant asymptotes, application of calculators to derivatives, optimization, average price function, demand function, profit function, marginal profit function, newtons method, antiderivative, differential equation,
 Calculus, James Stewart,
Kahn Academy, Utube
videos, www.classzone.com
exam view test manager
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation
12
 e
 review and test
4-6



13
 5
 use area and distance problems to formulate the idea of the definite intergal
 12.1.1,12,1.2, 12.1.3,
12.3.1,12,3,2,
12,3,3
 30-45
 area problem, area of a region, distance problem, definition of a definite integral, integral sign, integrand, limits of integration, lower limit, upper limit, integration, Reimann sum, evaluating limits, midpoint rule, properties of the integral, comparison properties of the integral, The fundamental theorem of Calculus, Fresnel function, indefinite integral, substitution rule, integrals of symmetric functions
 Calculus, James Stewart,
Kahn Academy, Utube
videos, www.classzone.com
exam view test manager
 Lectures, notes, individual student presentations,
Daily homework assignments, worksheets, group work
 quizzes,tests and participation
14
 e
 review and test
4-6